42765129 has 24 divisors (see below), whose sum is σ = 67695264. Its totient is φ = 25800000.

The previous prime is 42765127. The next prime is 42765137. The reversal of 42765129 is 92156724.

It is not a de Polignac number, because 42765129 - 2¹ = 42765127 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42765093 and 42765102.

It is not an unprimeable number, because it can be changed into a prime (42765127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23989 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 2^42765129 is an apocalyptic number.

It is an amenable number.

42765129 is a deficient number, since it is larger than the sum of its proper divisors (24930135).

42765129 is a wasteful number, since it uses less digits than its factorization.

42765129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1986 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42765129 is about 6539.5052565160. The cubic root of 42765129 is about 349.7007755504.

It can be divided in two parts, 427 and 65129, that added together give a palindrome (65556).

The spelling of 42765129 in words is "forty-two million, seven hundred sixty-five thousand, one hundred twenty-nine".